Direct and Inverse Scattering Problems for Domains with Multiple Corners | Zendy

Songming Hou | Zendy; Yihong Jiang | Zendy; Yuan Cheng | Zendy

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Direct and Inverse Scattering Problems for Domains with Multiple Corners

Author(s) -

Songming Hou,

Yihong Jiang,

Yuan Cheng

Publication year - 2015

Publication title -

international journal of partial differential equations

Language(s) - English

Resource type - Journals

eISSN - 2356-7082

pISSN - 2314-6524

DOI - 10.1155/2015/968529

Subject(s) - inverse scattering problem , robustness (evolution) , singularity , inverse problem , inverse , logarithm , scattering , mathematics , computer science , mathematical optimization , mathematical analysis , physics , optics , geometry , biochemistry , chemistry , gene

We proposed numerical methods for solving the direct and inversescattering problems for domains with multiple corners. Both the nearfield and far field cases are considered. For the forward problem, thechallenges of logarithmic singularity from Green’s functions and cornersingularity are both taken care of. For the inverse problem, an efficientand robust direct imaging method is proposed. Multiple frequency dataare combined to capture details while not losing robustness

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